Helpppp meee pleaseee!!!! Colton has a stone paperweight composed of a triangular pyramid on top of a triangular prism with the dimensions shown below. Use the drop-down menus to explain how to determine the volume of the paperweight.

Answer:

Step-by-step explanation:

Answer:

a) Each friend gets 12 sweets

b) There is 1 sweet left

Step-by-step explanation:

When you divide 49 by 4 you will get 12 with a remainder 1.

49 ÷ 4 = 12 R1

The remainder is the left over while the total result is how much each friend gets.

Answer:

A) 12

B) 1

Step-by-step explanation:

49 cannot be divided equally among the 4 friends but 48 can be divided.

A) So,

48/4 = 12 sweets

Each friend gets 12 sweets

B) 1 sweet is left

Answer:

$330.03

Step-by-step explanation:

You start by adding all of the pairs of pants: 57. Then, you multiply 57 by $5.79: 330.03

If (2, 0) is a solution of the linear equation \(\displaystyle\sf 2x - 5y = k\), we can substitute the values of \(\displaystyle\sf x = 2\) and \(\displaystyle\sf y = 0\) into the equation to find the value of \(\displaystyle\sf k\).

Substituting \(\displaystyle\sf x = 2\) and \(\displaystyle\sf y = 0\) into the equation, we get:

\(\displaystyle\sf 2(2) - 5(0) = k\)

Simplifying:

\(\displaystyle\sf 4 - 0 = k\)

\(\displaystyle\sf 4 = k\)

Therefore, the value of \(\displaystyle\sf k\) is 4 when (2, 0) is a solution of the linear equation \(\displaystyle\sf 2x - 5y = k\).

The answer is:

4 = k

Work/explanation:

Since we know the values of both x and y, we can plug them into the equation and solve for k:

\(\sf{2x-5y=k}\)

\(\bf{2(2)-5(0)=k}\)

Simplify:

\(\bf{4-0=k}\)

\(\bf{4=k}\)

\(\rule{300pt}{3pt}\)

Note : how do we know which number to plug in for x or y?

Well, if we remember the form of a point on the x-y plane, we'll know.

The form of the point is (x,y).

And here we have the point (2,0) where 2 = x and 0 = y.

The value of w in the equation is 84

let's find the variable w in the equation

4 = w / 4 - 17

add 17 to both sides of the equation

4 + 17 = w / 4 - 17 + 17

21 = w / 4

multiply both sides by 4

21 × 4 = w / 4 × 4

Therefore,

w = 84

learn more on equation here: https://brainly.com/question/19042380

Based on the passage you provided, it seems like you are being asked to apply principles of logic and construct a truth table based on the premises and conclusion presented in the passage. To accomplish this, you need to follow the three steps outlined:

Step 1: Break the premises into several statements (usually denoted by p, q, r, etc.)

From the passage, we can identify the following statements:

- Statement 1: Water is fundamental for life and the environment.

- Statement 2: Water crisis is one of the most important challenges of the 21st century.

- Statement 3: Ensuring that we use water more wisely, more productively, and less profligately will be one of the defining challenges of this century.

- Statement 4: If all public services collaborate to address the water scarcity problem, then the governments will be able to provide a planning framework to manage water usage and boost awareness of the water crisis.

- Statement 5: There is a lack of planning frameworks or there are not enough campaigns to raise awareness of the water crisis.

- Statement 6: Therefore, there is no efficient collaboration among various public sectors to address the water shortage problem.

Step 2: Express the premises and conclusion symbolically.

Using the statements identified above, we can symbolically represent them as follows:

- p: Water is fundamental for life and the environment.

- q: Water crisis is one of the most important challenges of the 21st century.

- r: Ensuring that we use water more wisely, more productively, and less profligately will be one of the defining challenges of this century.

- s: All public services collaborate to address the water scarcity problem.

- t: Governments will be able to provide a planning framework to manage water usage and boost awareness of the water crisis.

- u: There is a lack of planning frameworks or there are not enough campaigns to raise awareness of the water crisis.

- v: There is no efficient collaboration among various public sectors to address the water shortage problem.

Step 3: Construct a truth table.

To construct a truth table, assign truth values (T or F) to each statement and evaluate the truth value of the conclusion based on the truth values of the premises

Learn more about fundamental here: brainly.com/question/33103886

#SPJ11

Answer:

Reason 2 : Vertical opposite angles.

Reason 3 : Vertical opposite angles.

Reason 4 : Using statement 1 and 3.

Reason 5 : Using statement 1 and 2.

Reason 6 : AA property of similarity.

Step-by-step explanation:

Statement 1 : and .

Reason 1 : Given

Statement 2 :

Reason 2 : Vertical opposite angles.

Statement 3 : \(\angle GEF\cong \angle DEC\)

Reason 3 : Vertical opposite angles.

Statement 4 : \(\angle ABC\cong \angle GEF\)

Reason 4 : Using statement 1 and 3.

Statement 5 : \(\angle ACB\cong \angle GFE\)

Reason 5 : Using statement 1 and 2.

Statement 6 : \(\triangle ABC\cong \triangle GEF\)

Reason 6 : AA property of similarity.

Hence proved.

34.32 milligrams of radioactive substance will remain after 54 hours .

For example, time affects a planet's position. The concept was first introduced with infinitesimal calculus towards the end of the 17th century, and differentiable functions were considered up until the 19th century (that is, they had a high degree of regularity). When the concept of a function was defined in terms of set theory near the end of the 19th century, the areas in which it could be used were greatly broadened.

Remember the formula for an exponential function is represented by

\(f(x) = ab^{x}\)

where a is the initial value and bb is the growth rate.

If the base, b > 1, then it shows exponential growth. If it is 0< b < 1, then it shows exponential decay.

Using the formula for exponential function, we substitute the necessary details from the problem to get the rate first:

initial milligrams of that radioactive substances = 100

final amount of that radioactive substances = 50

number of hours = 35

decay rate can be found by =

\(50 = 100b^{35}\\ \\\frac{50}{100} = b^{35}\\ \\ b = 0.5^{\frac{1}{35} }\)

now that we use 54/35 to  represent the time needed to find how much of the substance is left:

\(f(x) = 100(0.5)^{\frac{54}{35} }\)

= 100(0.3432050906)

= 34.32

learn more about functions here :

brainly.com/question/12431044

#SPJ4

​

The difference of two Fractions can also be  a fraction,the result is always a rational number.

(a) The sum of two rational numbers is always true. When we add two rational numbers, the result is also a rational number. This is because rational numbers can be expressed as the ratio of two integers, and the sum of two fractions can be written as a fraction as well.

(b) The product of a rational number and an irrational number is sometimes true. The product of a rational number and an irrational number can result in either a rational or an irrational number, depending on the specific numbers involved. For example, if we multiply the rational number 2/3 by the irrational number √2, the result is (√2 * 2)/3 = (2√2)/3, which is an irrational number. However, if we multiply the rational number 1/2 by the irrational number √4, the result is (√4 * 1)/2 = 2/2 = 1, which is a rational number.

(c) The product of two rational numbers is always true. When we multiply two rational numbers, the result is always a rational number. This is because the product of two fractions can be written as a fraction as well.

(d) The difference between two rational numbers is always true. When we subtract one rational number from another, the result is always a rational number. This is because the difference of two fractions can also be expressed as a fraction.

To know more about  Fractions .

https://brainly.com/question/17220365

#SPJ11

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the remote interior angles.

  (3x +6)° = 31° +35°

  3x +6 = 66 . . . . . . . . . . divide by °, collect terms

  3x = 60 . . . . . . . . subtract 6

  x = 20 . . . . . . . divide by 3

The value of y is the supplement of (3x+6)°, and of the sum (31 +35)°.

  y = 180° -66° = 114°

The values of x and y are 20 and 114°, respectively.

The volume of the solid obtained by rotating the region bounded by \\((y=x\) and \(y=\sqrt{x}\)\) about the line \(\(x=2\) is \(\frac{-2}{3}\pi\) or \(\frac{2}{3}\pi\)\) in absolute value.

To find the volume of the solid obtained by rotating the region bounded by \(y=x\) and \(y=\sqrt{x}\) about the line \(x=2\), we can use the method of cylindrical shells.

The cylindrical shells are formed by taking thin horizontal strips of the region and rotating them around the axis of rotation. The height of each shell is the difference between the \(x\) values of the curves, which is \(x-\sqrt{x}\). The radius of each shell is the distance from the axis of rotation, which is \(2-x\). The thickness of each shell is denoted by \(dx\).

The volume of each cylindrical shell is given by\(\(2\pi \cdot (2-x) \cdot (x-\sqrt{x}) \cdot dx\)\).

To find the total volume, we integrate this expression over the interval where the two curves intersect, which is from \(x=0\) to \(x=1\). Therefore, the volume can be calculated as follows:

\[V = \int_{0}^{1} 2\pi \cdot (2-x) \cdot (x-\sqrt{x}) \, dx\]

We can simplify the integrand by expanding it:

\[V = \int_{0}^{1} 2\pi \cdot (2x-x^2-2\sqrt{x}+x\sqrt{x}) \, dx\]

Simplifying further:

\[V = \int_{0}^{1} 2\pi \cdot (x^2+x\sqrt{x}-2x-2\sqrt{x}) \, dx\]

Integrating term by term:

\[V = \pi \cdot \left(\frac{x^3}{3}+\frac{2x^{\frac{3}{2}}}{3}-x^2-2x\sqrt{x}\right) \Bigg|_{0}^{1}\]

Evaluating the definite integral:

\[V = \pi \cdot \left(\frac{1}{3}+\frac{2}{3}-1-2\right)\]

Simplifying:

\[V = \pi \cdot \left(\frac{1}{3}-1\right)\]

\[V = \pi \cdot \left(\frac{-2}{3}\right)\]

Therefore, the volume of the solid obtained by rotating the region bounded by \(y=x\) and \(y=\sqrt{x}\) about the line \(x=2\) is \(\frac{-2}{3}\pi\) or \(\frac{2}{3}\pi\) in absolute value.

Learn more about volume here

https://brainly.com/question/463363

#SPJ11

Answer:

direct variation for both, 0.5x and -2.5x

Step-by-step explanation:

what you have is correct. it is linear lines on both plots and tables. and your equations are also correct because for example, -6 times -2.5 is equal to 15.

The volume of the Parallelepiped with adjacent edges pq, pr,and ps = 136

Geometrically, the Scalar triple product:

\({\displaystyle \mathbf {a} \cdot (\mathbf {b} \times \mathbf {c} )} \mathbf{a}\cdot(\mathbf{b}\times \mathbf{c})\)

is the (signed) volume of the parallelepiped defined by the three vectors given. Here, the parentheses may be omitted without causing ambiguity, since the dot product cannot be evaluated first. If it were, it would leave the cross product of a scalar and a vector, which is not defined.

Given three vectors, there is a product, called scalar triple product, that gives , the volume of the parallelepiped that has the three vectors as dimensions.

So,

Given : p(-2,1,0) , q(3,4,3), r(1,4,-1), s(3,6,4).

pq =  ( -2-3 ,1-4 ,0-3) = (-5,-3,-3)

pr= (-2-1, 1-4, 0+1) = (-3,-3,1)

ps= ( -2-3, 1-6, 0-4) = (-5,-5,-4)

pq = (-5  ,  -3  , -3)

pr = (-3,  -3,  1)

ps= (-5,  -5,  -4)

The scalar triple product is given by the determinant of the matrix (3×3)

that has in the rows the three components of the three vectors:

\(\left[\begin{array}{ccc}-5&-3&-3\\-3&-3&1\\-5&-5&-4\end{array}\right] \\\\-5(12+5)-3(12+5)-3(15-15)\\-5(17)-3(17)-3(0)\\-85-51\\-136\\\)

So, The volume never be negative then by applying vector

v = |-136|

v= 136

the volume of the parallelepiped with adjacent edges pq, pr,and ps = 136

To learn more about Scalar triple product: brainly.com/question/13419505

#SPJ4

Answer:10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

2×5=10

Hope this helps :)

Step-by-step explanation:

60lb? koejdhrojrjrrjbrur

Answer:

Angle 2 = Angle 4 ( vertically opposite angles)

Answer: x>−4 or x<−10

Step-by-step explanation:

brainliest plzz:)

Answer: Stacy is 12 years old

Step-by-step explanation:

36/4 = 12

Answer:

C.15

Step-by-step explanation:

one box has 5 chocolates so 3*5=15

The z-score is -5, which indicates that the sample proportion of 40% is 5 standard deviations below the population proportion of 64%.

To calculate the z-score, we first need to determine the standard deviation of the population. Unfortunately, the question doesn't provide us with that information, so we'll have to make an assumption.

Let's assume that the standard deviation of the population is 0.05 (or 5%). This is a common assumption when the population standard deviation is unknown.

Using this assumption, we can calculate the standard error of the sample proportion (the proportion of people in our sample who believe the election was rigged):

standard error = sqrt((p * (1 - p)) / n)

where p is the proportion from the population (0.64) and n is the sample size (100).

standard error = sqrt((0.64 * (1 - 0.64)) / 100) = 0.0498

Next, we can calculate the z-score:

z = (sample proportion - population proportion) / standard error

z = (0.40 - 0.64) / 0.0498 = -4.82

So the z-score is -4.82. This means that our sample proportion is 4.82 standard errors below the population proportion. In other words, our sample result is highly unlikely to have occurred by chance if the population proportion is really 0.64.

Learn more about z-score here: brainly.com/question/15016913

#SPJ11

The function h(x) = 0.0065x – 1.25 represents the sum of the flight time lengths of two airplane flights.

To find the sum of the flight time lengths represented by the functions f(x) and g(x), we need to multiply the functions together. Given f(x) = 0.0025x^0.75 and g(x) = 0.004x^0.5, the function h(x) = f(x) * g(x) represents the sum.

Multiplying the functions:

h(x) = (0.0025x^0.75) * (0.004x^0.5)

Simplifying the expression:

h(x) = 0.0025 * 0.004 * x^0.75 * x^0.5

h(x) = 0.0065x^1.25

Therefore, the function h(x) = 0.0065x – 1.25 represents the sum of the flight time lengths of the two airplane flights.

Understanding how to multiply functions and simplify the resulting expression allows us to determine the correct function that represents the sum. By multiplying the functions f(x) and g(x) together, we obtain the function h(x), which represents the desired sum of the flight time lengths.

Learn more about  function: brainly.com/question/11624077

#SPJ11

Answer:

0.0065x + 1.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

amama

x2+y2−2x−80=0

Write the problem as a mathematical expression.x2+y2−2x−80=0

Add  80 to both sides of the equation. x2+y2−2x= 80 Complete the square for x2− 2x. Tap for more steps...(x−1)2−1 Substitute  (x−1)2−1 for x−2x in the equation  x2+y2−2x =80 .(x−1)2−1+y2=80 Move −1 to the right side of the equation by adding  1 to both sides.(x−1)2+y2=80+1Add 80 and 1.(x−1)2+y2=81

This is the form of a circle. Use this form to determine the center and radius of the circle.(x−h)2+(y−k)2=2Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and  k represents the y-offset from origin.r=9h=1k=0 The center of the circle is found at (h,k). Center: (1,0)These values represent the important values for graphing and analyzing a circle. Center: (1,0)Radius:  9

Additive inverse is the number you add to a given number to make the sum zero. The addition of both the number must be zero to make both numbers additive inverse.. The additive inverse of the given complex number is

\(-9+4i\)

Addictive Inverse-Additive inverse is the number you add to a given number to make the sum zero. The addition of both the number must be zero to make both numbers additive inverse.

Let an example, if we take the number 10 and add -10 to it. Thus -10 is the additive inverse of the number 10.

Here, the given number is a complex number. A complex number is a number of the form a + bi, where a and b are real numbers. The given function is,

\(9-4i\)

The additive inverse of the above number is,\(-9+4i\)

Add both and check by equating with zero,

\(9-4i+(-9i+4)=0\)

\(9-4i+-9i+4=0\)

\(0=0\)

Hence, the additive inverse of the given complex number is \(-9+4i\).

For more about the additive inverse, follow the link below-https://brainly.com/question/13715269

Based on the medians, we can conclude that Bus 47 typically has a faster travel time than Bus 18. The median travel time for Bus 47 is 16 minutes, which is 3 minutes faster than the median travel time for Bus 18, which is 13 minutes.

To determine which bus typically has the faster travel time, we need to compare the measures of center for each data set. Since the data sets are relatively small and appear to have some outliers, the median is the more appropriate measure of center to use in this case, as it is less affected by extreme values than the mean.

For Bus 47, the median is 16, which means that half of the students take less than 16 minutes to travel to school on that bus, and half take more than 16 minutes.

For Bus 18, the median is 13, which means that half of the students take less than 13 minutes to travel to school on that bus, and half take more than 13 minutes.

Therefore, based on the medians, we can conclude that Bus 47 typically has a faster travel time than Bus 18. The median travel time for Bus 47 is 16 minutes, which is 3 minutes faster than the median travel time for Bus 18, which is 13 minutes.

Learn more about travel time below.

https://brainly.com/question/29798034

#SPJ1

Answer:

y=-2x+2

slope-intercept form --> y=mx+b

m= slope. the slope in the graph is down 2 over 1, -2/1 which is the same as -2.

b = y-intercept. the y-intercept is 2.

Answer:

-50

Step-by-step explanation:

I got it correct on iReady Practice: Multiply and Divide Rational - Practice - Level G.

-5 1/12 x 10

The required change in the position of the drill in one day is given as 50 feet. Option B is correct.

Given that,
A research team is planning to use an ice drill at the top of a glacier. The team plans to use the drill for 10 hours each day while the temperature is warmest. The drill's position will move 5 1/12 feet every hour it is used.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Drill length  = 5 1 / 12 = 61 / 12 feet per hour
For 10 hours in a day drill length = 61 / 12 [10] = 50.833 or 50 feet.

Thus, the required change in the position of the drill in one day is given as 50 feet. Option B is correct.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

-3ax3+48cx2+35b

Step-by-step explanation:

hope this helps

A correlation coefficient is a numerical index that reflects the relationship between two variables.

The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.

The given blank in the sentence can be filled with two variables.

Hence, A correlation coefficient is a numerical index that reflects the relationship between two variables.

Learn more about Correlation Coefficients:

https://brainly.com/question/15353989

#SPJ1